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Finding the Fourth Proportional to 119,712.42, 165,195.72 and 65,994.66

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Solution

The fourth proportional to 119,712.42, 165,195.72 and 65,994.66 is: 91,068.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,712.42 : 165,195.72 = 65,994.66 : x
  2. Step 2: Convert to fraction form
    119,712.42/165,195.72 = 65,994.66/x
  3. Step 3: Cross multiply
    119,712.42x = 165,195.72 × 65,994.66
  4. Step 4: Simplify right side
    119,712.42x = 10,902,035,374.86
  5. Step 5: Solve for x
    x = 10,902,035,374.86/119,712.42
  6. Step 6: Final answer
    x = 91,068.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.